205293281 has 2 divisors, whose sum is σ = 205293282. Its totient is φ = 205293280.

The previous prime is 205293259. The next prime is 205293299. The reversal of 205293281 is 182392502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175960225 + 29333056 = 13265^2 + 5416^2 .

It is a cyclic number.

It is not a de Polignac number, because 205293281 - 2¹⁰ = 205292257 is a prime.

It is a super-2 number, since 2×205293281² = 84290662447489922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (205293211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102646640 + 102646641.

It is an arithmetic number, because the mean of its divisors is an integer number (102646641).

Almost surely, 2^205293281 is an apocalyptic number.

It is an amenable number.

205293281 is a deficient number, since it is larger than the sum of its proper divisors (1).

205293281 is an equidigital number, since it uses as much as digits as its factorization.

205293281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 205293281 is about 14328.0592195873. The cubic root of 205293281 is about 589.9179058429.

The spelling of 205293281 in words is "two hundred five million, two hundred ninety-three thousand, two hundred eighty-one".